Slope
Intercepts
Word Problems
y = mx + b
Proportional or Not?
100
What kind of slope is between the points (7, 8) and (3, 8)?
What is ZERO SLOPE
100
Find the y intercept of y = x + 5
y- intercept (0, 5)
100
Jasmine has $18 to buy books at the library used book sale. Paperback books cost $3 each. Write an equation to show her amount of money left (y) based on how many books shy buys (x)
y = -3x + 18
100
Write an equation of a line that has a slope of -5/2 and a y-intercept of 3
y = -5/2x + 3
100
What two (2) things need to be true to make a proportional relationship?
It needs to have a constant rate of change and it needs to contain the point (0,0)
200
Find the slope of the line that goes between (3, 4) and (4, 6)
What is m = 2
200
Find the y intercept in the table
y intercept (0, 1)
200
The perimeter of a rectangle is 50 inches. Write an equation to find possible lengths and widths of the rectangle.
2x + 2y = 50
200
Write an equation of a line that has a slope of -3 and a y-intercept of -5
y = -3x - 5
200
Determine if the graph shows a proportional relationship or not and how you know
Yes, it is proportional because it has a constant rate of change and goes through the point (0,0)
300
Find the slope of the line that goes between (1, -3) and (5, 4)
What is m = 7/4
300
Find the y intercept in the graph
y intercept (0, 1)
300
A roller coaster drops down 56 feet as its track goes 42 feet forward. What is the slope of the drop?
m = -4/3
300
Write an equation of a line that goes through (5, 8) and (9, 12) and has a y intercept of (0, -8)
y = x - 8 (use the points to find the slope, then plug it all in)
300
Determine if the table shows a proportional relationship or not and how you know
No, it is not proportional because even though it has a constant rate of change, it does not contain the point (0,0)
400
Find the slope of the line that goes between (-3, 6) and (-5, 9)
What is m = -(3/2)
400
Ashley opens up a savings account at BB&T and puts $20 in the account. Each month she will add $10 to the account. Write an equation to represent how much money (y) she will have based on how many months she adds to the account (x). Identify the y intercept. (2 answers needed!)
y = 10x + 20
The y intercept is (0, 20)
400
You are predicting how much money you will have saved (y) after working a certain number of hours (x). You use the equation y = 18x + 500. How much do you already have saved and how much do you earn per hour? How much will you have after working a full work week (40 hours)? ***THREE ANSWERS***
-already saved $500 -earn $18 per hour -after working 40 hours, saved $1220
400
Write an equation of a line that has a slope of (-1/2) and goes through the point (2, -5)
y = (-1/2)x - 4 (plug in the slope, then plug in x and y from the ordered pair and solve for b)
400
Determine if the graph shows a proportional relationship or not and how you know
No, because it does not have a constant rate of change
500
Find the slope of the line that goes between (3 and 1/2, 5 and 1/4) and (2 and 1/2, 6) ***use fractions, not decimals, to get the points!
What is m = -3/4
500
You get an 18 inch tall baby llama for your birthday, and the llama guy tells you that it will grow 6 inches per year. Write an equation for how tall the llama will be (y) based on how many years (x) you own it. THEN, find the y intercept and tell what it means.
y = 6x + 18
y intercept: (0, 18) when you get the llama it is already 18 inches tall
500
You take a hot-air balloon ride on a day when the temp is 24 degrees C at sea level. The equation y = -6.6x + 24 represents the temperature (y) at x kilometers above sea level.
How does the temp change with each km?
Find the y intercept and tell what it means.
-temp drops 6.6 degrees C with each km you go up
y intercept (0, 24) when you start at sea level
500
Write an equation of a line based on the table
y = 3x - 5
500
Determine if the table shows a proportional relationship or not and how you know
No, because it does not have a constant rate of change